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 A120071 a(n) = n*(n+20). 18
 0, 21, 44, 69, 96, 125, 156, 189, 224, 261, 300, 341, 384, 429, 476, 525, 576, 629, 684, 741, 800, 861, 924, 989, 1056, 1125, 1196, 1269, 1344, 1421, 1500, 1581, 1664, 1749, 1836, 1925, 2016, 2109, 2204, 2301 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES F. P. Muga II, Extending the Golden Ratio and the Binet-de Moivre Formula, March 2014; Preprint on ResearchGate. LINKS FORMULA a(n) = (n+10)^2 - 10^2 = n*(n+20), n>=0. G.f.: x*(21-19*x)/(1-x)^3. a(n) = 2*n + a(n-1) + 19 (with a(0)=0). - Vincenzo Librandi, Nov 13 2010 MAPLE seq(sum(4*k-n, k=7..n), n=6..51); # Zerinvary Lajos, Feb 17 2008 MATHEMATICA s=0; lst={}; Do[s+=n; AppendTo[lst, s], {n, 21, 6!, 2}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 26 2009 *) PROG (PARI) a(n)=n*(n+20) \\ Charles R Greathouse IV, Jan 21 2015 CROSSREFS a(n-10), n>=11, tenth column (used for the n=10 series of the hydrogen atom) of triangle A120070. For n*(n+18) see A098850. Cf. A001477, A098849, A132760, A120061, A132765. Cf. A132760, A132761, A132762, A098849, A098850, A005563, A028552, A028347, A028557, A028560, A028563, A028566, A028569, A098603, A098847, A132759, A098848. - Vladimir Joseph Stephan Orlovsky, Feb 26 2009 Sequence in context: A041878 A041880 A063319 * A180863 A180857 A168519 Adjacent sequences:  A120068 A120069 A120070 * A120072 A120073 A120074 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Jul 20 2006 STATUS approved

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